Description Case studies are used to enable you to apply new concepts, use the tools you have mastered, and improve your technical skills you have attained. Through the individual case studies you will discover for yourself the usefulness of quantitative problem solving methods, how to apply them in practice, and their benet to organizational decision-makers. in this case study, you will act as a consultant for a company that crushes sunflower seeds to produce high quality refined sunflower oil for sale in the wholesale market. The company is looking for you to make a recommendation on the optimal blend of raw materials required for its next production cycle. You will use a number of decision analysis tools including time series forecasting. linear programming, and cost-profit-volume analysis to make the recommendation and provide analysis on the profitability of the company. You will be required to submit a written report to management, and to include the spreadsheet models you used to generate price forecasts, optimize the raw material, and a perform the break-even analysis. All analysis should be done using Excel and the various models should be implemented on separate worksheets or in separate workbooks. Scenario WCanada, Ltd. is a producer of high quality sunflower oil. The company buys raw sunower seeds directly from large agricultural companies, and refines the seeds into sunower oil that it sells in the wholesale market. The company has a maximum input capacity of 150 short tons of raw sunflower seeds every day (or 54,750 short tons per year). Of course the company cannot run at full capacity every day as it is required to shut down or reduce capacity for maintenance periods every year, and it experiences the occasional mechanical problem. The facility is expected to run at 90% capacity over the year (or on average 150 x 90% = 135 short tons per day). W is planning to purchase its supply of raw sunower seeds from three primary growers, Supplier A, Supplier B, and Supplier C. Purchase prices will not set until the orders are actually placed so Iourngsgi will have to forecast purchase prices for the raw material and sales prices for the refined sunower oil. The contract is written such that Tourneol is only required to commit to 70% of total capacity up front. Any amounts over that can be purchased only as required for the same price. Historical prices for the last 15 years are in the table below (note that year 1 5 is the most current yea r). Historical Price Data Seed 011 Average Price Index 32:3? Pnce Marketing Year $511011 ton $fshort ton 1 325.7 507.8 2 292.4 465 3 342 852.2 4 440 664.2 5 284 991.3 5 442 732 7 280 921 8 547.2 1323 9 436 1297.3 10 642.8 1512 11 461 1406 12 782 1864 13 508 1317.4 14 438 1372.4 15 434 1334.4 Sunower oil contains a number of fatty acids, some which are desirable in food products and others that are not. One desirable fatty acid is oleic acid. W produces high oleic oil for the wholesale market, and requires that the oleic acid content be a minimum of 77%. Sunflower oil also contains trace amounts of iodine. The market requires that that iodine content be a minimum of 0.78% and maximum of 0.88% The oleic acid and iodine content for the sunflower seeds from the three suppliers is given in the table below. Supplier Oleic Acid Iodine A X 68% 0.86% B y 72% 0.78% C 2 83% 0.94% For all three suppliers, it is expected that the average yield of oil from the seeds is 100%. Because the oleic acid and iodine content varies across the three suppliers, so does the price. It is expected that the cost of supply from the suppliers will be a percentage of the market average price of seeds. Supplier Cost as % of Average Market Price of Seed A 88% B 100% C 92% The company faces an additional variable production cost of$11fshorl ton and an estimated fixed cost of $1,790,000 over the upcoming production period. The company is asking you to provide a recommendation on the amount of raw material it should purchase from each supplier to minimize its cost of feedstock. Management is also looking for an analysis on the profitability of the company in the next production cycle. Suggested Approach This is a fairly complex problem. The following approach is suggested: . Use the historical price data set as input to a time series forecast model in order to generate forecasted prices for the average price of sunower seeds, and oil in the next production period. Use standard measures of error to decide between a three-period moving average model or an exponential smoothing model (with o = 0.2). Use the type of model for all three time series forecasts. That is, if you decide to use the moving average model, use a three- period moving average model to fit the relevant data for all three series. Don't use the moving average for one time series and the exponential smoothing model for another time series. - Formulate a linear program to minimize the cost of raw sunflower seeds. Use the average price of seeds forecasted from the previous step in order to determine supplier prices. . Perform a cost-volume-price analysis (review the handout entitled Cost- Volume-Profit Analysis for details) using the average cost per short ton average selling price per short ton. 0 You can generate an effective cost per short ton by dividing the total cost of supply (from the linear program) by the total volume (that you assumed in the linear program). 0 You can generate an effective selling price per short too from the expected percentage yields and the forecasted average price of sunflower oil. 0 Because of the way that the contract is written. you can assume that the purchase of raw sunflower seeds is a variable cost (you only purchase what you require). Recall that the cost-volume-price analysis requires you to provide . an algebraic statement of the revenue function and the cost function, . a detailed breakeven chart that inctudes lines for the revenue and for the total cost, xed cost. and variable cost (a total of four lines), and . a calculation break-even point expressed in number of short tons and percent of capacity. Management Report Prepare a written management report that includes. at a minimum, the following sections: in Purpose of the Report . Description of the Problem . Methodology (which would include the model formulation) . Findings or Results . Recommendations or Conclusions Be sure to address all relevant points, discuss any assumptions you are making, justify any modeling choices you have made (for example, the choice of time series forecast modei), and highlight the following items in your report: . a forecast of the next production period's average price index for raw sunower m sunflower oil, . a recommendation for the optimal purchasing strategy from the various suppliers. . a cost-volume-profit analysis using for the recommended purchase strategy and the forecasted sunower oil sales price, . a discussion of the risks and uncertainties that are faced by the company, and . an analysis and opinion on the profitability of the company in the next production period (accounting for the expected profit or loss and the inherent risks/uncertainties. Remember that you are writing the report from the point of view of a consultant with senior management of W91 Ca nada, Ltd. as the intended audience. Evaluation Final Case Study will be marked in its entirety out of 100. The following rubric indicates the criteria students are to adhere to, and their relative weights to the assignment overall